The value of $\int\limits_{{{ - \pi } \over 2}}^{{\pi \over 2}} {{1 \over {1 + {e^{\sin x}}}}dx} $ is:
Previous 10 Questions — JEE Main 5 September 2020 (Morning)
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If (a, b, c) is the image of the point (1, 2, -3) in the line ${{x + 1} \over 2} = {{y - 3} \over { - 2}} = {z \over { …
Topic: JEE Main 5 September 2020 (Morning)
If the function $f\left( x \right) = \left\{ {\matrix{ {{k_1}{{\left( {x - \pi } \right)}^2} - 1,} & {x \le \pi }…
Topic: JEE Main 5 September 2020 (Morning)
If the four complex numbers $z,\overline z ,\overline z - 2{\mathop{\rm Re}\nolimits} \left( {\overline z } \right)$ a…
Topic: JEE Main 5 September 2020 (Morning)
If the point P on the curve, 4x2 + 5y2 = 20 is farthest from the point Q(0, -4), then PQ2 is equal to:
Topic: JEE Main 5 September 2020 (Morning)
The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the…
Topic: JEE Main 5 September 2020 (Morning)
A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percent…
Topic: JEE Main 5 September 2020 (Morning)
If the minimum and the maximum values of the function $f:\left[ {{\pi \over 4},{\pi \over 2}} \right] \to R$, defined…
Topic: JEE Main 5 September 2020 (Morning)
If ${3^{2\sin 2\alpha - 1}}$, 14 and ${3^{4 - 2\sin 2\alpha }}$ are the first three terms of an A.P. for some $\alpha …
Topic: JEE Main 5 September 2020 (Morning)
If the co-ordinates of two points A and B are $\left( {\sqrt 7 ,0} \right)$ and $\left( { - \sqrt 7 ,0} \right)$ respec…
Topic: JEE Main 5 September 2020 (Morning)
If$\int {\left( {{e^{2x}} + 2{e^x} - {e^{ - x}} - 1} \right){e^{\left( {{e^x} + {e^{ - x}}} \right)}}dx} $ = $g\left( x…
Topic: JEE Main 5 September 2020 (Morning)
Next 10 Questions — JEE Main 5 September 2020 (Morning)
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If S is the sum of the first 10 terms of the series ${\tan ^{ - 1}}\left( {{1 \over 3}} \right) + {\tan ^{ - 1}}\left( …
Topic: JEE Main 5 September 2020 (Morning)
If y = y(x) is the solution of the differential equation ${{5 + {e^x}} \over {2 + y}}.{{dy} \over {dx}} + {e^x} = 0$ s…
Topic: JEE Main 5 September 2020 (Morning)
The product of the roots of the equation 9x2 - 18|x| + 5 = 0 is :
Topic: JEE Main 5 September 2020 (Morning)
Let $\lambda \in $ R . The system of linear equations2x1- 4x2 + $\lambda $x3 = 1x1 - 6x2 + x3 = 2$\lambda $x1 - 10x2 +…
Topic: JEE Main 5 September 2020 (Morning)
